Homework Statement
A string of mass 38.5g and length 5.60m is secured so that it is under tension of 220N. A wave with frequency 178 Hz travels on the string. Find the speed of the wave and the amplitude of the wave if it transmits power of 140 Watts.
The Given answers are: 179 m/s and 1.35 cm...
Homework Statement
Verify that the indicated funciton is a solution of the given Differential Equation. c1 and c2 denote constants where appropriate.
\frac { dX }{ dt } =(2-x)(1-x);\quad \quad \ln { \frac { 2-x }{ 1-x } } =tThe Attempt at a Solution
I'm not quite sure how to really start...
Alright, so I can now say that I have 3 tensions:
tension on Block A
T_1=μ_smg
Tension on the wall from the rope at angle 45
T_2=
tension on hanging weight
T_3=
Well, I'm looking at the rope on the wall, can I say I have a 45-45-90 triangle here, since one angle is 45, the angle the...
I have something along these lines
forces:
ƩF_{Ax}=T_1-f_{sa}=0 → f_s=T_1
ƩF_{Ay}=N_A-mg=0 → N_A=mg
ƩF_{Wy}=m_Wg-T_2=0 → m_W=\frac{T_2}{g}
friction:
f_s=μ_sN_A
so,
T_1=μ_smg
The third equation is the one I'm not too sure about. I've attached a better diagram of the problem, as well as...
Homework Statement
You can find the questions, and relevant diagrams for each within the attached image
Homework Equations
Force Equations
ƩF=ma
f_k=μ_kN
Work Equations
W=Fs
(in this case, s=h)
W_{tot}=\frac{1}{2}mv^2-\frac{1}{2}mv_0^2
My Questions (these are also written on...
Alright, thanks for the tips. Just one last thing, I wanted to know if my statement about these lines not being parallel is valid.
Since I can't see the directional vector of l1 and l2 being proportional for any value of k, they can't be parallel. This is because if their proportional, that...
Alright, good to know my approach isn't a bust. So I'll try taking the dot product and solve for k.
<1,-1,2> . <1,2,k> = 0
1(1)+2(-1)+2(k) = 0
1-2+2k = 0
-1+2k = 0
2k = 1
k = \frac{1}{2}
how does this look?
Homework Statement
Let l_1:<x,y,z>=<2,-1,3>+t<-1,2,1> and P(1,3,2) be a line and point in R3, respectively. Find the distance from P to l.
Homework Equations
distance between two points in R3
d=\sqrt{(x-x_0)^2+(y-y_0)^2+(z-z_0)^2}
and the line in this problem is given to us in vector...
Homework Statement
Let l1:x=3+t, y=1-t, z=2t and l2:x=-1+s, y=2s, z=1+kt (not sure if this one is just a typo, in which t should actually be s, or whether this is fundamental to the problem) be two lines in R3.
a) Find all value(s) of k, (if any) for which l1 and l2 are parallel. If not...
Homework Statement
A hammer slides off the roof of a house that slopes downward at 40 degrees. The edge of teh roof is 14m avove the ground and the hammer leaves the roof at 7m/s.
How far from the edge of the roof does the hammer strike the ground?Homework Equations
x direction
Vx=V0x...
Well, it seems I got a grasp of the problem now, I think the only thing that messed me up in the beginning was the fact that I was applying one of the formulas wrong.
Thanks for all the help, its much appreciated :smile: